FMICMAC-AHDT 模糊交叉影响矩阵乘法在分类中的应用与对抗哈斯图联用

规范化方法选择（参数选择）：

原始矩阵（直接影响矩阵）为

$$Ori=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{24 \times24}} &A1 &A2 &A3 &A4 &B1 &B2 &C1 &C2 &C3 &C4 &C5 &D1 &D2 &D3 &D4 &D5 &E1 &E2 &E3 &E4 &E5 &E6 &F1 &F2\\ \hline A1 &0 &0 &0 &0 &0 &0 &2 &0 &0 &0 &0 &0 &0 &0 &0 &0 &4 &0 &0 &0 &0 &0 &0 &0\\ \hline A2 &17 &0 &16 &17 &0 &1 &6 &5 &13 &4 &13 &0 &0 &0 &0 &0 &3 &0 &3 &0 &0 &9 &0 &0\\ \hline A3 &16 &12 &0 &13 &6 &8 &18 &0 &11 &0 &14 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &8 &0\\ \hline A4 &17 &11 &7 &0 &2 &0 &14 &6 &9 &3 &13 &0 &0 &0 &0 &0 &8 &9 &0 &0 &0 &0 &0 &0\\ \hline B1 &11 &3 &4 &2 &0 &9 &3 &0 &3 &0 &3 &0 &0 &0 &0 &0 &0 &0 &0 &7 &0 &0 &0 &0\\ \hline B2 &12 &1 &3 &0 &16 &0 &12 &0 &11 &11 &6 &0 &7 &0 &8 &6 &0 &0 &9 &7 &0 &0 &0 &0\\ \hline C1 &15 &16 &16 &16 &0 &12 &0 &11 &17 &7 &17 &11 &14 &12 &14 &13 &12 &14 &14 &10 &12 &13 &16 &0\\ \hline C2 &12 &18 &11 &14 &1 &8 &8 &0 &19 &8 &20 &13 &17 &13 &16 &10 &14 &12 &16 &13 &15 &16 &6 &0\\ \hline C3 &16 &14 &14 &20 &8 &17 &14 &17 &0 &15 &8 &12 &8 &16 &12 &9 &14 &12 &20 &16 &14 &7 &0 &0\\ \hline C4 &16 &12 &16 &18 &8 &17 &17 &17 &18 &0 &17 &13 &13 &12 &13 &14 &13 &13 &17 &14 &13 &9 &0 &0\\ \hline C5 &19 &14 &14 &17 &0 &0 &13 &18 &16 &11 &0 &12 &9 &13 &15 &8 &12 &13 &11 &13 &11 &15 &0 &0\\ \hline D1 &18 &18 &14 &18 &0 &14 &13 &16 &18 &13 &18 &0 &19 &14 &17 &13 &20 &20 &17 &18 &20 &13 &0 &3\\ \hline D2 &12 &16 &16 &17 &6 &17 &12 &14 &17 &17 &15 &16 &0 &16 &20 &20 &14 &17 &17 &19 &17 &17 &14 &5\\ \hline D3 &9 &10 &7 &11 &8 &13 &11 &11 &9 &13 &13 &7 &12 &0 &16 &12 &9 &12 &10 &11 &9 &9 &3 &0\\ \hline D4 &6 &11 &4 &6 &10 &19 &17 &8 &7 &12 &9 &5 &9 &8 &0 &11 &4 &11 &6 &8 &7 &7 &0 &0\\ \hline D5 &6 &12 &12 &12 &11 &12 &12 &11 &16 &12 &14 &10 &16 &13 &12 &0 &13 &17 &12 &15 &11 &10 &0 &0\\ \hline E1 &14 &16 &17 &14 &3 &11 &8 &19 &20 &14 &14 &20 &16 &15 &14 &14 &0 &20 &16 &13 &18 &16 &15 &4\\ \hline E2 &13 &17 &20 &17 &12 &18 &10 &14 &17 &13 &17 &16 &17 &14 &16 &15 &12 &0 &17 &16 &7 &12 &0 &0\\ \hline E3 &9 &11 &17 &19 &16 &14 &14 &7 &13 &11 &8 &4 &13 &10 &12 &4 &7 &8 &0 &14 &7 &6 &0 &0\\ \hline E4 &6 &8 &14 &8 &7 &11 &10 &16 &12 &14 &9 &13 &16 &17 &15 &16 &13 &12 &17 &0 &11 &10 &0 &0\\ \hline E5 &14 &17 &14 &13 &7 &9 &13 &15 &16 &12 &14 &16 &14 &15 &13 &11 &20 &18 &15 &15 &0 &15 &17 &13\\ \hline E6 &11 &14 &14 &16 &4 &16 &13 &20 &15 &11 &9 &17 &20 &17 &16 &10 &14 &18 &20 &17 &15 &0 &18 &9\\ \hline F1 &13 &12 &15 &17 &15 &18 &14 &15 &14 &16 &15 &13 &20 &16 &16 &15 &12 &19 &16 &16 &16 &20 &0 &5\\ \hline F2 &11 &16 &16 &14 &16 &17 &17 &20 &17 &16 &16 &20 &15 &16 &15 &16 &20 &20 &18 &15 &15 &20 &20 &0\\ \hline \end{array} $$

规范直接关系矩阵求解过程

$$\mathcal{N}=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{24 \times24}} &A1 &A2 &A3 &A4 &B1 &B2 &C1 &C2 &C3 &C4 &C5 &D1 &D2 &D3 &D4 &D5 &E1 &E2 &E3 &E4 &E5 &E6 &F1 &F2\\ \hline A1 &0 &0 &0 &0 &0 &0 &0.005 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.009 &0 &0 &0 &0 &0 &0 &0\\ \hline A2 &0.039 &0 &0.037 &0.039 &0 &0.002 &0.014 &0.012 &0.03 &0.009 &0.03 &0 &0 &0 &0 &0 &0.007 &0 &0.007 &0 &0 &0.021 &0 &0\\ \hline A3 &0.037 &0.028 &0 &0.03 &0.014 &0.018 &0.041 &0 &0.025 &0 &0.032 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.018 &0\\ \hline A4 &0.039 &0.025 &0.016 &0 &0.005 &0 &0.032 &0.014 &0.021 &0.007 &0.03 &0 &0 &0 &0 &0 &0.018 &0.021 &0 &0 &0 &0 &0 &0\\ \hline B1 &0.025 &0.007 &0.009 &0.005 &0 &0.021 &0.007 &0 &0.007 &0 &0.007 &0 &0 &0 &0 &0 &0 &0 &0 &0.016 &0 &0 &0 &0\\ \hline B2 &0.028 &0.002 &0.007 &0 &0.037 &0 &0.028 &0 &0.025 &0.025 &0.014 &0 &0.016 &0 &0.018 &0.014 &0 &0 &0.021 &0.016 &0 &0 &0 &0\\ \hline C1 &0.035 &0.037 &0.037 &0.037 &0 &0.028 &0 &0.025 &0.039 &0.016 &0.039 &0.025 &0.032 &0.028 &0.032 &0.03 &0.028 &0.032 &0.032 &0.023 &0.028 &0.03 &0.037 &0\\ \hline C2 &0.028 &0.041 &0.025 &0.032 &0.002 &0.018 &0.018 &0 &0.044 &0.018 &0.046 &0.03 &0.039 &0.03 &0.037 &0.023 &0.032 &0.028 &0.037 &0.03 &0.035 &0.037 &0.014 &0\\ \hline C3 &0.037 &0.032 &0.032 &0.046 &0.018 &0.039 &0.032 &0.039 &0 &0.035 &0.018 &0.028 &0.018 &0.037 &0.028 &0.021 &0.032 &0.028 &0.046 &0.037 &0.032 &0.016 &0 &0\\ \hline C4 &0.037 &0.028 &0.037 &0.041 &0.018 &0.039 &0.039 &0.039 &0.041 &0 &0.039 &0.03 &0.03 &0.028 &0.03 &0.032 &0.03 &0.03 &0.039 &0.032 &0.03 &0.021 &0 &0\\ \hline C5 &0.044 &0.032 &0.032 &0.039 &0 &0 &0.03 &0.041 &0.037 &0.025 &0 &0.028 &0.021 &0.03 &0.035 &0.018 &0.028 &0.03 &0.025 &0.03 &0.025 &0.035 &0 &0\\ \hline D1 &0.041 &0.041 &0.032 &0.041 &0 &0.032 &0.03 &0.037 &0.041 &0.03 &0.041 &0 &0.044 &0.032 &0.039 &0.03 &0.046 &0.046 &0.039 &0.041 &0.046 &0.03 &0 &0.007\\ \hline D2 &0.028 &0.037 &0.037 &0.039 &0.014 &0.039 &0.028 &0.032 &0.039 &0.039 &0.035 &0.037 &0 &0.037 &0.046 &0.046 &0.032 &0.039 &0.039 &0.044 &0.039 &0.039 &0.032 &0.012\\ \hline D3 &0.021 &0.023 &0.016 &0.025 &0.018 &0.03 &0.025 &0.025 &0.021 &0.03 &0.03 &0.016 &0.028 &0 &0.037 &0.028 &0.021 &0.028 &0.023 &0.025 &0.021 &0.021 &0.007 &0\\ \hline D4 &0.014 &0.025 &0.009 &0.014 &0.023 &0.044 &0.039 &0.018 &0.016 &0.028 &0.021 &0.012 &0.021 &0.018 &0 &0.025 &0.009 &0.025 &0.014 &0.018 &0.016 &0.016 &0 &0\\ \hline D5 &0.014 &0.028 &0.028 &0.028 &0.025 &0.028 &0.028 &0.025 &0.037 &0.028 &0.032 &0.023 &0.037 &0.03 &0.028 &0 &0.03 &0.039 &0.028 &0.035 &0.025 &0.023 &0 &0\\ \hline E1 &0.032 &0.037 &0.039 &0.032 &0.007 &0.025 &0.018 &0.044 &0.046 &0.032 &0.032 &0.046 &0.037 &0.035 &0.032 &0.032 &0 &0.046 &0.037 &0.03 &0.041 &0.037 &0.035 &0.009\\ \hline E2 &0.03 &0.039 &0.046 &0.039 &0.028 &0.041 &0.023 &0.032 &0.039 &0.03 &0.039 &0.037 &0.039 &0.032 &0.037 &0.035 &0.028 &0 &0.039 &0.037 &0.016 &0.028 &0 &0\\ \hline E3 &0.021 &0.025 &0.039 &0.044 &0.037 &0.032 &0.032 &0.016 &0.03 &0.025 &0.018 &0.009 &0.03 &0.023 &0.028 &0.009 &0.016 &0.018 &0 &0.032 &0.016 &0.014 &0 &0\\ \hline E4 &0.014 &0.018 &0.032 &0.018 &0.016 &0.025 &0.023 &0.037 &0.028 &0.032 &0.021 &0.03 &0.037 &0.039 &0.035 &0.037 &0.03 &0.028 &0.039 &0 &0.025 &0.023 &0 &0\\ \hline E5 &0.032 &0.039 &0.032 &0.03 &0.016 &0.021 &0.03 &0.035 &0.037 &0.028 &0.032 &0.037 &0.032 &0.035 &0.03 &0.025 &0.046 &0.041 &0.035 &0.035 &0 &0.035 &0.039 &0.03\\ \hline E6 &0.025 &0.032 &0.032 &0.037 &0.009 &0.037 &0.03 &0.046 &0.035 &0.025 &0.021 &0.039 &0.046 &0.039 &0.037 &0.023 &0.032 &0.041 &0.046 &0.039 &0.035 &0 &0.041 &0.021\\ \hline F1 &0.03 &0.028 &0.035 &0.039 &0.035 &0.041 &0.032 &0.035 &0.032 &0.037 &0.035 &0.03 &0.046 &0.037 &0.037 &0.035 &0.028 &0.044 &0.037 &0.037 &0.037 &0.046 &0 &0.012\\ \hline F2 &0.025 &0.037 &0.037 &0.032 &0.037 &0.039 &0.039 &0.046 &0.039 &0.037 &0.037 &0.046 &0.035 &0.037 &0.035 &0.037 &0.046 &0.046 &0.041 &0.035 &0.035 &0.046 &0.046 &0\\ \hline \end{array} $$

综合影响矩阵求解过程

　　综合影响矩阵如下

$T=\mathcal{N}(I-\mathcal{N})^{-1}$

$$T=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{24 \times24}} &A1 &A2 &A3 &A4 &B1 &B2 &C1 &C2 &C3 &C4 &C5 &D1 &D2 &D3 &D4 &D5 &E1 &E2 &E3 &E4 &E5 &E6 &F1 &F2\\ \hline A1 &0.001 &0.001 &0.001 &0.001 &0 &0.001 &0.005 &0.001 &0.001 &0.001 &0.001 &0.001 &0.001 &0.001 &0.001 &0.001 &0.01 &0.001 &0.001 &0.001 &0.001 &0.001 &0.001 &0\\ \hline A2 &0.053 &0.012 &0.047 &0.051 &0.005 &0.011 &0.026 &0.022 &0.042 &0.017 &0.041 &0.008 &0.009 &0.009 &0.009 &0.007 &0.016 &0.01 &0.017 &0.009 &0.008 &0.028 &0.005 &0.001\\ \hline A3 &0.05 &0.038 &0.011 &0.041 &0.018 &0.026 &0.051 &0.009 &0.037 &0.008 &0.042 &0.007 &0.008 &0.008 &0.009 &0.007 &0.009 &0.009 &0.009 &0.009 &0.007 &0.008 &0.022 &0.001\\ \hline A4 &0.052 &0.037 &0.028 &0.013 &0.009 &0.009 &0.042 &0.024 &0.033 &0.015 &0.041 &0.009 &0.009 &0.009 &0.01 &0.008 &0.027 &0.03 &0.011 &0.009 &0.008 &0.009 &0.004 &0.001\\ \hline B1 &0.03 &0.01 &0.013 &0.008 &0.002 &0.023 &0.011 &0.003 &0.011 &0.003 &0.01 &0.002 &0.003 &0.003 &0.003 &0.003 &0.003 &0.003 &0.003 &0.019 &0.002 &0.002 &0.001 &0\\ \hline B2 &0.041 &0.014 &0.019 &0.013 &0.043 &0.012 &0.039 &0.011 &0.038 &0.035 &0.025 &0.009 &0.026 &0.01 &0.029 &0.023 &0.01 &0.011 &0.032 &0.027 &0.009 &0.009 &0.004 &0.001\\ \hline C1 &0.074 &0.073 &0.073 &0.077 &0.02 &0.06 &0.037 &0.059 &0.079 &0.047 &0.075 &0.052 &0.064 &0.058 &0.065 &0.057 &0.058 &0.065 &0.067 &0.056 &0.055 &0.058 &0.05 &0.005\\ \hline C2 &0.067 &0.078 &0.063 &0.073 &0.022 &0.052 &0.055 &0.035 &0.084 &0.05 &0.082 &0.058 &0.071 &0.061 &0.071 &0.051 &0.063 &0.062 &0.072 &0.063 &0.063 &0.065 &0.028 &0.005\\ \hline C3 &0.074 &0.067 &0.067 &0.083 &0.037 &0.069 &0.066 &0.069 &0.039 &0.062 &0.054 &0.052 &0.049 &0.064 &0.059 &0.046 &0.06 &0.058 &0.077 &0.067 &0.057 &0.042 &0.013 &0.004\\ \hline C4 &0.077 &0.065 &0.074 &0.082 &0.038 &0.072 &0.075 &0.072 &0.082 &0.031 &0.076 &0.057 &0.062 &0.058 &0.064 &0.06 &0.061 &0.063 &0.074 &0.065 &0.058 &0.049 &0.014 &0.005\\ \hline C5 &0.078 &0.066 &0.065 &0.075 &0.016 &0.03 &0.061 &0.071 &0.072 &0.051 &0.034 &0.052 &0.05 &0.057 &0.064 &0.043 &0.055 &0.06 &0.056 &0.058 &0.05 &0.059 &0.013 &0.004\\ \hline D1 &0.088 &0.085 &0.076 &0.088 &0.023 &0.071 &0.072 &0.077 &0.089 &0.066 &0.085 &0.034 &0.081 &0.068 &0.079 &0.063 &0.082 &0.085 &0.08 &0.08 &0.078 &0.063 &0.017 &0.013\\ \hline D2 &0.077 &0.083 &0.083 &0.089 &0.039 &0.081 &0.073 &0.074 &0.089 &0.077 &0.081 &0.071 &0.042 &0.075 &0.088 &0.08 &0.07 &0.081 &0.083 &0.085 &0.074 &0.074 &0.049 &0.017\\ \hline D3 &0.052 &0.052 &0.045 &0.056 &0.034 &0.056 &0.053 &0.051 &0.053 &0.053 &0.059 &0.038 &0.053 &0.024 &0.063 &0.049 &0.045 &0.054 &0.051 &0.051 &0.042 &0.043 &0.017 &0.004\\ \hline D4 &0.039 &0.048 &0.033 &0.039 &0.035 &0.064 &0.061 &0.039 &0.042 &0.046 &0.044 &0.029 &0.041 &0.037 &0.022 &0.043 &0.029 &0.046 &0.036 &0.039 &0.033 &0.034 &0.009 &0.003\\ \hline D5 &0.051 &0.062 &0.062 &0.064 &0.043 &0.058 &0.06 &0.056 &0.074 &0.055 &0.066 &0.048 &0.066 &0.058 &0.059 &0.026 &0.058 &0.069 &0.06 &0.065 &0.051 &0.048 &0.013 &0.004\\ \hline E1 &0.08 &0.081 &0.084 &0.081 &0.031 &0.066 &0.062 &0.084 &0.094 &0.069 &0.077 &0.079 &0.076 &0.072 &0.073 &0.066 &0.038 &0.086 &0.079 &0.07 &0.075 &0.071 &0.05 &0.015\\ \hline E2 &0.072 &0.077 &0.083 &0.08 &0.047 &0.075 &0.061 &0.066 &0.081 &0.061 &0.077 &0.064 &0.071 &0.063 &0.071 &0.062 &0.058 &0.034 &0.074 &0.07 &0.045 &0.055 &0.014 &0.004\\ \hline E3 &0.05 &0.051 &0.065 &0.071 &0.05 &0.055 &0.058 &0.039 &0.058 &0.046 &0.045 &0.028 &0.051 &0.043 &0.05 &0.029 &0.037 &0.041 &0.024 &0.054 &0.035 &0.033 &0.01 &0.003\\ \hline E4 &0.05 &0.053 &0.066 &0.056 &0.034 &0.057 &0.056 &0.067 &0.065 &0.06 &0.055 &0.055 &0.067 &0.067 &0.066 &0.062 &0.058 &0.059 &0.071 &0.032 &0.051 &0.049 &0.013 &0.004\\ \hline E5 &0.079 &0.083 &0.077 &0.078 &0.039 &0.061 &0.072 &0.075 &0.085 &0.064 &0.077 &0.07 &0.072 &0.071 &0.071 &0.059 &0.082 &0.082 &0.077 &0.074 &0.035 &0.069 &0.056 &0.035\\ \hline E6 &0.073 &0.077 &0.077 &0.085 &0.034 &0.078 &0.074 &0.086 &0.084 &0.063 &0.067 &0.073 &0.086 &0.076 &0.079 &0.058 &0.07 &0.082 &0.089 &0.079 &0.069 &0.036 &0.058 &0.026\\ \hline F1 &0.078 &0.073 &0.08 &0.087 &0.058 &0.082 &0.076 &0.075 &0.082 &0.074 &0.08 &0.064 &0.086 &0.074 &0.078 &0.069 &0.065 &0.084 &0.08 &0.078 &0.071 &0.08 &0.018 &0.018\\ \hline F2 &0.08 &0.088 &0.089 &0.088 &0.064 &0.086 &0.089 &0.093 &0.096 &0.079 &0.089 &0.085 &0.081 &0.08 &0.082 &0.076 &0.088 &0.093 &0.091 &0.081 &0.074 &0.086 &0.065 &0.007\\ \hline \end{array} $$

结果优先——UP型抽取过程	原因优先——DOWN型抽取过程
$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} & R_{e} & T_{e} \\\hline A1&\color{red}{\fbox{A1}}&\color{red}{\fbox{A1}} \\\hline A2&A1,A2,A4&A2 \\\hline A3&A1,A3,A4&A3 \\\hline A4&\color{red}{\fbox{A4}}&\color{red}{\fbox{A4}} \\\hline B1&A1,B1&B1 \\\hline B2&A1,B2&B2 \\\hline C1&C1,C5,D5&C1 \\\hline C2&C2,C5,D4&C2 \\\hline C3&A1,A4,C3&C3 \\\hline C4&C1,C4,D3&C4 \\\hline C5&A2,A3,B2,C3,C5,E3&C5 \\\hline D1&C4,D1,E1&D1 \\\hline D2&C2,D2,E2,E4&D2 \\\hline D3&D3,D4&D3 \\\hline D4&A2,A3,B2,D4,E3&D4 \\\hline D5&D5,E4&D5 \\\hline E1&C1,D2,E1&E1 \\\hline E2&C5,D4,E2&E2 \\\hline E3&A1,A4,E3&E3 \\\hline E4&D4,E4&E4 \\\hline E5&C2,C4,E2,E5&E5 \\\hline E6&C4,E1,E6&E6 \\\hline F1&B1,D1,E5,E6,F1&F1 \\\hline F2&F1,F2&F2 \\\hline \end{array} $$	$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} &Q_{e} & T_{e} \\\hline A1&A1,A2,A3,B1,B2,C3,E3&A1 \\\hline A2&A2,C5,D4&A2 \\\hline A3&A3,C5,D4&A3 \\\hline A4&A2,A3,A4,C3,E3&A4 \\\hline B1&B1,F1&B1 \\\hline B2&B2,C5,D4&B2 \\\hline C1&C1,C4,E1&C1 \\\hline C2&C2,D2,E5&C2 \\\hline C3&C3,C5&C3 \\\hline C4&C4,D1,E5,E6&C4 \\\hline C5&C1,C2,C5,E2&C5 \\\hline D1&D1,F1&D1 \\\hline D2&D2,E1&D2 \\\hline D3&C4,D3&D3 \\\hline D4&C2,D3,D4,E2,E4&D4 \\\hline D5&C1,D5&D5 \\\hline E1&D1,E1,E6&E1 \\\hline E2&D2,E2,E5&E2 \\\hline E3&C5,D4,E3&E3 \\\hline E4&D2,D5,E4&E4 \\\hline E5&E5,F1&E5 \\\hline E6&E6,F1&E6 \\\hline F1&F1,F2&F1 \\\hline F2&\color{blue}{\fbox{F2}}&\color{blue}{\fbox{F2}} \\\hline \end{array} $$
抽取出A1、A4放置上层，删除后剩余的情况如下	抽取出F2放置下层，删除后剩余的情况如下
$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} & R_{e} & T_{e} \\\hline A2&\color{red}{\fbox{A2}}&\color{red}{\fbox{A2}} \\\hline A3&\color{red}{\fbox{A3}}&\color{red}{\fbox{A3}} \\\hline B1&\color{red}{\fbox{B1}}&\color{red}{\fbox{B1}} \\\hline B2&\color{red}{\fbox{B2}}&\color{red}{\fbox{B2}} \\\hline C1&C1,C5,D5&C1 \\\hline C2&C2,C5,D4&C2 \\\hline C3&\color{red}{\fbox{C3}}&\color{red}{\fbox{C3}} \\\hline C4&C1,C4,D3&C4 \\\hline C5&A2,A3,B2,C3,C5,E3&C5 \\\hline D1&C4,D1,E1&D1 \\\hline D2&C2,D2,E2,E4&D2 \\\hline D3&D3,D4&D3 \\\hline D4&A2,A3,B2,D4,E3&D4 \\\hline D5&D5,E4&D5 \\\hline E1&C1,D2,E1&E1 \\\hline E2&C5,D4,E2&E2 \\\hline E3&\color{red}{\fbox{E3}}&\color{red}{\fbox{E3}} \\\hline E4&D4,E4&E4 \\\hline E5&C2,C4,E2,E5&E5 \\\hline E6&C4,E1,E6&E6 \\\hline F1&B1,D1,E5,E6,F1&F1 \\\hline F2&F1,F2&F2 \\\hline \end{array} $$	$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} &Q_{e} & T_{e} \\\hline A1&A1,A2,A3,B1,B2,C3,E3&A1 \\\hline A2&A2,C5,D4&A2 \\\hline A3&A3,C5,D4&A3 \\\hline A4&A2,A3,A4,C3,E3&A4 \\\hline B1&B1,F1&B1 \\\hline B2&B2,C5,D4&B2 \\\hline C1&C1,C4,E1&C1 \\\hline C2&C2,D2,E5&C2 \\\hline C3&C3,C5&C3 \\\hline C4&C4,D1,E5,E6&C4 \\\hline C5&C1,C2,C5,E2&C5 \\\hline D1&D1,F1&D1 \\\hline D2&D2,E1&D2 \\\hline D3&C4,D3&D3 \\\hline D4&C2,D3,D4,E2,E4&D4 \\\hline D5&C1,D5&D5 \\\hline E1&D1,E1,E6&E1 \\\hline E2&D2,E2,E5&E2 \\\hline E3&C5,D4,E3&E3 \\\hline E4&D2,D5,E4&E4 \\\hline E5&E5,F1&E5 \\\hline E6&E6,F1&E6 \\\hline F1&\color{blue}{\fbox{F1}}&\color{blue}{\fbox{F1}} \\\hline \end{array} $$
抽取出A2、A3、B1、B2、C3、E3放置上层，删除后剩余的情况如下	抽取出F1放置下层，删除后剩余的情况如下
$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} & R_{e} & T_{e} \\\hline C1&C1,C5,D5&C1 \\\hline C2&C2,C5,D4&C2 \\\hline C4&C1,C4,D3&C4 \\\hline C5&\color{red}{\fbox{C5}}&\color{red}{\fbox{C5}} \\\hline D1&C4,D1,E1&D1 \\\hline D2&C2,D2,E2,E4&D2 \\\hline D3&D3,D4&D3 \\\hline D4&\color{red}{\fbox{D4}}&\color{red}{\fbox{D4}} \\\hline D5&D5,E4&D5 \\\hline E1&C1,D2,E1&E1 \\\hline E2&C5,D4,E2&E2 \\\hline E4&D4,E4&E4 \\\hline E5&C2,C4,E2,E5&E5 \\\hline E6&C4,E1,E6&E6 \\\hline F1&D1,E5,E6,F1&F1 \\\hline F2&F1,F2&F2 \\\hline \end{array} $$	$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} &Q_{e} & T_{e} \\\hline A1&A1,A2,A3,B1,B2,C3,E3&A1 \\\hline A2&A2,C5,D4&A2 \\\hline A3&A3,C5,D4&A3 \\\hline A4&A2,A3,A4,C3,E3&A4 \\\hline B1&\color{blue}{\fbox{B1}}&\color{blue}{\fbox{B1}} \\\hline B2&B2,C5,D4&B2 \\\hline C1&C1,C4,E1&C1 \\\hline C2&C2,D2,E5&C2 \\\hline C3&C3,C5&C3 \\\hline C4&C4,D1,E5,E6&C4 \\\hline C5&C1,C2,C5,E2&C5 \\\hline D1&\color{blue}{\fbox{D1}}&\color{blue}{\fbox{D1}} \\\hline D2&D2,E1&D2 \\\hline D3&C4,D3&D3 \\\hline D4&C2,D3,D4,E2,E4&D4 \\\hline D5&C1,D5&D5 \\\hline E1&D1,E1,E6&E1 \\\hline E2&D2,E2,E5&E2 \\\hline E3&C5,D4,E3&E3 \\\hline E4&D2,D5,E4&E4 \\\hline E5&\color{blue}{\fbox{E5}}&\color{blue}{\fbox{E5}} \\\hline E6&\color{blue}{\fbox{E6}}&\color{blue}{\fbox{E6}} \\\hline \end{array} $$
抽取出C5、D4放置上层，删除后剩余的情况如下	抽取出B1,D1,E5,E6放置下层，删除后剩余的情况如下
$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} & R_{e} & T_{e} \\\hline C1&C1,D5&C1 \\\hline C2&\color{red}{\fbox{C2}}&\color{red}{\fbox{C2}} \\\hline C4&C1,C4,D3&C4 \\\hline D1&C4,D1,E1&D1 \\\hline D2&C2,D2,E2,E4&D2 \\\hline D3&\color{red}{\fbox{D3}}&\color{red}{\fbox{D3}} \\\hline D5&D5,E4&D5 \\\hline E1&C1,D2,E1&E1 \\\hline E2&\color{red}{\fbox{E2}}&\color{red}{\fbox{E2}} \\\hline E4&\color{red}{\fbox{E4}}&\color{red}{\fbox{E4}} \\\hline E5&C2,C4,E2,E5&E5 \\\hline E6&C4,E1,E6&E6 \\\hline F1&D1,E5,E6,F1&F1 \\\hline F2&F1,F2&F2 \\\hline \end{array} $$	$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} &Q_{e} & T_{e} \\\hline A1&A1,A2,A3,B2,C3,E3&A1 \\\hline A2&A2,C5,D4&A2 \\\hline A3&A3,C5,D4&A3 \\\hline A4&A2,A3,A4,C3,E3&A4 \\\hline B2&B2,C5,D4&B2 \\\hline C1&C1,C4,E1&C1 \\\hline C2&C2,D2&C2 \\\hline C3&C3,C5&C3 \\\hline C4&\color{blue}{\fbox{C4}}&\color{blue}{\fbox{C4}} \\\hline C5&C1,C2,C5,E2&C5 \\\hline D2&D2,E1&D2 \\\hline D3&C4,D3&D3 \\\hline D4&C2,D3,D4,E2,E4&D4 \\\hline D5&C1,D5&D5 \\\hline E1&\color{blue}{\fbox{E1}}&\color{blue}{\fbox{E1}} \\\hline E2&D2,E2&E2 \\\hline E3&C5,D4,E3&E3 \\\hline E4&D2,D5,E4&E4 \\\hline \end{array} $$
抽取出C2、D3、E2、E4放置上层，删除后剩余的情况如下	抽取出C4,E1放置下层，删除后剩余的情况如下
$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} & R_{e} & T_{e} \\\hline C1&C1,D5&C1 \\\hline C4&C1,C4&C4 \\\hline D1&C4,D1,E1&D1 \\\hline D2&\color{red}{\fbox{D2}}&\color{red}{\fbox{D2}} \\\hline D5&\color{red}{\fbox{D5}}&\color{red}{\fbox{D5}} \\\hline E1&C1,D2,E1&E1 \\\hline E5&C4,E5&E5 \\\hline E6&C4,E1,E6&E6 \\\hline F1&D1,E5,E6,F1&F1 \\\hline F2&F1,F2&F2 \\\hline \end{array} $$	$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} &Q_{e} & T_{e} \\\hline A1&A1,A2,A3,B2,C3,E3&A1 \\\hline A2&A2,C5,D4&A2 \\\hline A3&A3,C5,D4&A3 \\\hline A4&A2,A3,A4,C3,E3&A4 \\\hline B2&B2,C5,D4&B2 \\\hline C1&\color{blue}{\fbox{C1}}&\color{blue}{\fbox{C1}} \\\hline C2&C2,D2&C2 \\\hline C3&C3,C5&C3 \\\hline C5&C1,C2,C5,E2&C5 \\\hline D2&\color{blue}{\fbox{D2}}&\color{blue}{\fbox{D2}} \\\hline D3&\color{blue}{\fbox{D3}}&\color{blue}{\fbox{D3}} \\\hline D4&C2,D3,D4,E2,E4&D4 \\\hline D5&C1,D5&D5 \\\hline E2&D2,E2&E2 \\\hline E3&C5,D4,E3&E3 \\\hline E4&D2,D5,E4&E4 \\\hline \end{array} $$
抽取出D2、D5放置上层，删除后剩余的情况如下	抽取出C1,D2,D3放置下层，删除后剩余的情况如下
$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} & R_{e} & T_{e} \\\hline C1&\color{red}{\fbox{C1}}&\color{red}{\fbox{C1}} \\\hline C4&C1,C4&C4 \\\hline D1&C4,D1,E1&D1 \\\hline E1&C1,E1&E1 \\\hline E5&C4,E5&E5 \\\hline E6&C4,E1,E6&E6 \\\hline F1&D1,E5,E6,F1&F1 \\\hline F2&F1,F2&F2 \\\hline \end{array} $$	$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} &Q_{e} & T_{e} \\\hline A1&A1,A2,A3,B2,C3,E3&A1 \\\hline A2&A2,C5,D4&A2 \\\hline A3&A3,C5,D4&A3 \\\hline A4&A2,A3,A4,C3,E3&A4 \\\hline B2&B2,C5,D4&B2 \\\hline C2&\color{blue}{\fbox{C2}}&\color{blue}{\fbox{C2}} \\\hline C3&C3,C5&C3 \\\hline C5&C2,C5,E2&C5 \\\hline D4&C2,D4,E2,E4&D4 \\\hline D5&\color{blue}{\fbox{D5}}&\color{blue}{\fbox{D5}} \\\hline E2&\color{blue}{\fbox{E2}}&\color{blue}{\fbox{E2}} \\\hline E3&C5,D4,E3&E3 \\\hline E4&D5,E4&E4 \\\hline \end{array} $$
抽取出C1放置上层，删除后剩余的情况如下	抽取出C2,D5,E2放置下层，删除后剩余的情况如下
$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} & R_{e} & T_{e} \\\hline C4&\color{red}{\fbox{C4}}&\color{red}{\fbox{C4}} \\\hline D1&C4,D1,E1&D1 \\\hline E1&\color{red}{\fbox{E1}}&\color{red}{\fbox{E1}} \\\hline E5&C4,E5&E5 \\\hline E6&C4,E1,E6&E6 \\\hline F1&D1,E5,E6,F1&F1 \\\hline F2&F1,F2&F2 \\\hline \end{array} $$	$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} &Q_{e} & T_{e} \\\hline A1&A1,A2,A3,B2,C3,E3&A1 \\\hline A2&A2,C5,D4&A2 \\\hline A3&A3,C5,D4&A3 \\\hline A4&A2,A3,A4,C3,E3&A4 \\\hline B2&B2,C5,D4&B2 \\\hline C3&C3,C5&C3 \\\hline C5&\color{blue}{\fbox{C5}}&\color{blue}{\fbox{C5}} \\\hline D4&D4,E4&D4 \\\hline E3&C5,D4,E3&E3 \\\hline E4&\color{blue}{\fbox{E4}}&\color{blue}{\fbox{E4}} \\\hline \end{array} $$
抽取出C4、E1放置上层，删除后剩余的情况如下	抽取出C5,E4放置下层，删除后剩余的情况如下
$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} & R_{e} & T_{e} \\\hline D1&\color{red}{\fbox{D1}}&\color{red}{\fbox{D1}} \\\hline E5&\color{red}{\fbox{E5}}&\color{red}{\fbox{E5}} \\\hline E6&\color{red}{\fbox{E6}}&\color{red}{\fbox{E6}} \\\hline F1&D1,E5,E6,F1&F1 \\\hline F2&F1,F2&F2 \\\hline \end{array} $$	$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} &Q_{e} & T_{e} \\\hline A1&A1,A2,A3,B2,C3,E3&A1 \\\hline A2&A2,D4&A2 \\\hline A3&A3,D4&A3 \\\hline A4&A2,A3,A4,C3,E3&A4 \\\hline B2&B2,D4&B2 \\\hline C3&\color{blue}{\fbox{C3}}&\color{blue}{\fbox{C3}} \\\hline D4&\color{blue}{\fbox{D4}}&\color{blue}{\fbox{D4}} \\\hline E3&D4,E3&E3 \\\hline \end{array} $$
抽取出D1、E5、E6放置上层，删除后剩余的情况如下	抽取出C3,D4放置下层，删除后剩余的情况如下
$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} & R_{e} & T_{e} \\\hline F1&\color{red}{\fbox{F1}}&\color{red}{\fbox{F1}} \\\hline F2&F1,F2&F2 \\\hline \end{array} $$	$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} &Q_{e} & T_{e} \\\hline A1&A1,A2,A3,B2,E3&A1 \\\hline A2&\color{blue}{\fbox{A2}}&\color{blue}{\fbox{A2}} \\\hline A3&\color{blue}{\fbox{A3}}&\color{blue}{\fbox{A3}} \\\hline A4&A2,A3,A4,E3&A4 \\\hline B2&\color{blue}{\fbox{B2}}&\color{blue}{\fbox{B2}} \\\hline E3&\color{blue}{\fbox{E3}}&\color{blue}{\fbox{E3}} \\\hline \end{array} $$
抽取出F1放置上层，删除后剩余的情况如下	抽取出A2,A3,B2,E3放置下层，删除后剩余的情况如下
$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} & R_{e} & T_{e} \\\hline F2&\color{red}{\fbox{F2}}&\color{red}{\fbox{F2}} \\\hline \end{array} $$	$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} &Q_{e} & T_{e} \\\hline A1&\color{blue}{\fbox{A1}}&\color{blue}{\fbox{A1}} \\\hline A4&\color{blue}{\fbox{A4}}&\color{blue}{\fbox{A4}} \\\hline \end{array} $$
抽取出F2放置上层，删除后剩余的情况如下	抽取出A1,A4放置下层，删除后剩余的情况如下

层级	结果优先——UP型	原因优先——DOWN型
第0层	A1,A4	A1,A4
第1层	A2,A3,B1,B2,C3,E3	A2,A3,B2,E3
第2层	C5,D4	C3,D4
第3层	C2,D3,E2,E4	C5,E4
第4层	D2,D5	C2,D5,E2
第5层	C1	C1,D2,D3
第6层	C4,E1	C4,E1
第7层	D1,E5,E6	B1,D1,E5,E6
第8层	F1	F1
第9层	F2	F2

FMACMIC-AHDT

FMACMIC-AHDT流程图与说明

规范化方法选择（参数选择）：

原始矩阵（直接影响矩阵）为

规范直接关系矩阵求解过程

综合影响矩阵求解过程

模糊可达矩阵FR的求解

模糊相乘矩阵求解 FB=T+I即综合影响矩阵中主对角线全部变成1

模糊可达矩阵FR

绘制驱动与依赖构成的散点图图表

对抗哈斯图的求解（AHDT 对抗哈斯图技术）

AHDT对抗哈斯图技术流程图及说明

缩点运算求出缩点可达矩阵R'

对R'进行缩边运算求出骨架矩阵S'

对矩阵S'+I分别进行结果优先与原因优先的层级抽取

抽取的过程如下

抽取方式的结果如下

把骨架矩阵中的回路以首尾相接的菊花链方式代入回去得到一般性骨架矩阵 S

代入一般性骨架矩阵$S$，绘制对抗层级拓扑图

UP型

DOWN型